I eat carrots a lot, spinach is good, sweet potatoes and yams kick ass, just tried cooked eggplant and it reminded me of sweet potatoes so I like that too. Beets are alright, broccoli is decent. Not sure about the tomato hate, I like them as long as they aren't super processed.
Basically I like almost all vegetables minus celery, iceberg lettuce, and cauliflower. Haven't tried kale yet.